# How do you solve m+3/8=7/12?

Sep 15, 2017

$m = \frac{5}{24}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} m + \frac{3}{8} = \frac{7}{12}$

You can get rid of the denominators by multiplying everything on both sides by $24$ (Since #LCM(8,12)=24)

$\textcolor{w h i t e}{\text{XXX}} 24 m + 9 = 14$

Subtract $9$ from both sides
$\textcolor{w h i t e}{\text{XXX}} 24 m = 5$

and divide both sides by $24$
$\textcolor{w h i t e}{\text{XXX}} m = \frac{5}{24}$